Answer:
See below.
Step-by-step explanation:
Hi there!
We want to find the equation of the line that has a slope (m) of 1 and that passes through the point (-10, -6)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeSince we are given both a point and a slope in this situation, it makes sense to write the equation in point-slope form.
Let's label the values of everything we were given to avoid confusion and mistakes:
m=1
[tex]x_1=-10\\y_1=-6[/tex]
Now substitute these values into the equation (note: we have NEGATIVE numbers, while the formula gives SUBTRACTION, which is why we're subtracting a negative)
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y--6=1(x--10)[/tex]
Simplify:
y+6=1(x+10)
The equation can be left as this, or it can be converted into slope-intercept form if you wish.
In that case, we would distribute 1 to each number on the right side.
y+6=x+10
Then, we'll isolate y on one side. Subtract 6 from both sides.
y=x+4
You can also convert it into standard form if you would prefer it that way. To do that, start with slope-intercept form, which we earlier found as y=x+4
In standard form, x and y are on the same side. So subtract x from both sides to move it
-x+y=4
Remember we don't want a (the coefficient in front of x) to be negative. In order to flip the sign, multiply both sides by -1
x-y=-4
Therefore, the answer can be written as y+6=1(x+10), y=x+4, or x-y=4.
Hope this helps!
There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.
Answer:
~7.61 births/minute
Step-by-step explanation:
YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.
y=-3x-8 how is this graphed
Divide.
123 : 5
remainder
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run
Answer:
4 7/12
Step-by-step explanation:
Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?
Answer: $2.34
Step-by-step explanation: first add $3.67+$3.67 that equals $7.34
then subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
Answer:
$3.67+$3.67=$7.34
Subtract 7.34 by 5.00 to get 2.34
Norris Russell saved $2.34
What is the value of 3x + 4y² when x = 5 and y = 3?
The value of 3x + 4y² when x = 5 and y = 3 is 51.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
3x + 4y²
We have to find the value of the expression when the value of x = 5 and that of y = 3.
For that, substitute x = 5 and y = 3 in place of x and y.
3x + 4y² = (3 × 5) + (4 × 3²)
= 15 + (4 × 9)
= 15 + 36
= 51
Hence the value of the expression is 51.
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Answer:
51
Step-by-step explanation:
- 2x + 4y = 17
3x - 10y = -3
Answer:
1.-2x+4y=17
if you want me to solve for x : x=-17/2 +2y
If you want me to solve for y: y=17/4+x/2
2. If you want me to solve for x: x=-1+10y/3
If you want me to solve for y: y=3/10+3x/10
3. If you want me to do it all together it would be:
x=-79/4, y=-45/8
Step-by-step explanation:
Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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How to find the equation of a line.
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.
Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.
Answer:
A = positive
B = positive, negative
C = negative
D = positive, negative
Answer:
A Positive coordinates (5,5) B Negative and Positive coordinates (-5,5) C Negative coordinates (-5,-5) D Negative and Positive coordinates (5,-5)
Step-by-step explanation:
Pls mark brianlist hope this helps .
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F
In parallelogram DEFG, angle F measures 92°
A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.
In parallelogram DEFG:
∠D + ∠E = 180° (Consecutive angles are supplementary)
(5x - 8) + (3x + 28) = 180
8x + 20 = 180
8x = 160
x = 20°
∠D = 5x - 8 = 5(20) - 8 = 92°
∠D = ∠F = 92° (Opposite angles are congruent)
In parallelogram DEFG, angle F measures 92°
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The angle of F in degrees is 92°
Adjacent angles of a parallelogram are supplementary.
Therefore,
Therefore,
5x - 8 + 3x + 28 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160 / 8
x = 20
Angle F is an opposite angle to angle D. Therefore,
∠D = ∠F
5x - 8 = 5(20) - 8 = 100 - 8 = 92°
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Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Here are the answers
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
y is inversely proportional to x and x = 10 when y = 6 what is the value of the consant? k =
Answer:
60
Step-by-step explanation:
y = k/x ( as y is inversely proportional to x)
yx = k
--> k = yx
k = (6)(10)
k = 60
Enjoy it. I hope it will help you.
What is the equation for the line in slope-intercept form?
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.
Due today!!
Answer:
1, 6, and -5
make it 0
[final due to glitching] find the value of x for this parallelogram
Answer:
x = 0
Step-by-step explanation:
both angles equal each other
I hope this helps
Which of the following is incorrect?
I need help please! It’s due tonight.
Answer:
D
Step-by-step explanation:
Can i get brainiest Sorry if im wrong <3
What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?
−4
−3
−2
Answer:
-3
Step-by-step explanation:
Solution of the equation is y = -3.
What is the solution of the equation?
A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.
Given expression (3/4)y+1/4= 1+y.
simplify each term,
(3/4)y + 1/4 = 1+y
Move all terms not containing y to the right side of the equation,
(3/4)y - y = 1-1/4
(-1/4)y = 3/4
Since both side of the expression has the same denominator, the numerators must be equal.
y = -3
Solution of the equation is y = -3.
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Find the circumference of the
circle. Use 3.14 for it. Do not
round your answer.
C = [ ? ] feet
18 feet
Enter the number that
belongs in the green box.
Hint: C = 2tr
help plssah
answer the question...
Answer:
2
Step-by-step explanation:
can someone help me on this one plss i REALLY need this for school
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
i need help with evaluating functions g(n)=3n - 4 ; find g(9)
Nadia is a stockbroker. She earns 11% commission each week. Last week, she sold $5300 worth of stocks. How much did she make last week in commission? If averages that same amount each week, how much did she make in commission in 2011?
pls answer fast, 25 points to earn
Answer:
a. $ 583
b. $ 30,316
Step-by-step explanation:
a). 0.11 * 5,300= $ 583 per week( commission )
b). In 2011, 52 weeks.
52* 583 =$ 30,316
Identify the slope and y-intercept for 3x + 4y = 9.
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!